12. A nutritionist is designing a meal for one of her patients. The meal must in

Question

12.       A nutritionist is designing a meal for one of her patients. The meal must include two vegetables, A and B, but not more than 100 g of each. Suppose that each 10-g portion of A contains 2 units of iron and 2 units of vitamin B12, and each 10-g portion of B contains 1 unit of iron and 5 units of vitamin B12. The number of calories in each 10-g portion of these vegetables is 5 for A and 3 for B. If the patient needs at least 20 units of iron and 36 units of vitamin B12 in the meal, how many grams of each vegetable should the nutritionist include to satisfy the iron and vitamin requirements while minimizing the number of calories in the meal?

Explanation / Answer

DECISION VARIABLES NO.OF ZIGS TO BE MADE X NO.OF ZAGS TO BE MADE Y M-1 HOURS REQUIRED 4X+12Y M-2 HOURS REQUIRED 8X+8Y M-3 HOURS REQUIRED 6X PROFIT FUNCTION =P= 12X+8Y TO BE MAXIMIZED CONSTRAINTS M-1 HRS = 4X+12Y

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